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Popular >

(dy)/(dt)=-y+1

Solution

\frac{d y}{d t} = - y + 1

Solution

y = e^{- t - c_{1}} + 1

Solution steps

\frac{d y}{d t} = - y + 1

Solve separable ODE:

y = e^{- t - c_{1}} + 1

y = e^{- t - c_{1}} + 1

Graph

Popular Examples

(dx)/(dt)=10-0.6*x

\frac{d x}{d t} = 10 - 0.6 \cdot x

(x+2)(dy)/(dx)=xy+3x-y-3

(x + 2) \frac{d y}{d x} = x y + 3 x - y - 3

cos(y)y^'=sin^2(x)cos(x),y(0)= pi/6

cos (y) y^{^{'}} = sin^{2} (x) cos (x), y (0) = \frac{π}{6}

2(dy)/(dx)+xy=2x

2 \frac{d y}{d x} + x y = 2 x

y^{^{'}} = 4 x y^{6}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-y+1 ?
The solution for (dy)/(dt)=-y+1 is y=e^{-t-c_{1}}+1